Maximum wave steepness and instabilities of finite-amplitude standing gravity waves

Makoto Okamura

doi:10.1016/0169-5983(87)90005-0

Maximum wave steepness and instabilities of finite-amplitude standing gravity waves

Makoto Okamura

Division of Earth Environment Dynamics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We consider the profile of two-dimensional standing gravity waves and their linear stabilities. We have obtained the result that the maximum wave steepness is 0.61. The instability with maximum growth rate is three-dimensional for the wave steepness 0.1. Instabilities due to the four-wave resonance occur but those due to the five-wave resonance are not found for wave steepness smaller than 0.15.

Original language	English
Pages (from-to)	201-214
Number of pages	14
Journal	Fluid Dynamics Research
Volume	1
Issue number	3-4
DOIs	https://doi.org/10.1016/0169-5983(87)90005-0
Publication status	Published - May 1987

All Science Journal Classification (ASJC) codes

Mechanical Engineering
General Physics and Astronomy
Fluid Flow and Transfer Processes

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10.1016/0169-5983(87)90005-0

Cite this

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title = "Maximum wave steepness and instabilities of finite-amplitude standing gravity waves",

abstract = "We consider the profile of two-dimensional standing gravity waves and their linear stabilities. We have obtained the result that the maximum wave steepness is 0.61. The instability with maximum growth rate is three-dimensional for the wave steepness 0.1. Instabilities due to the four-wave resonance occur but those due to the five-wave resonance are not found for wave steepness smaller than 0.15.",

author = "Makoto Okamura",

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PY - 1987/5

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N2 - We consider the profile of two-dimensional standing gravity waves and their linear stabilities. We have obtained the result that the maximum wave steepness is 0.61. The instability with maximum growth rate is three-dimensional for the wave steepness 0.1. Instabilities due to the four-wave resonance occur but those due to the five-wave resonance are not found for wave steepness smaller than 0.15.

AB - We consider the profile of two-dimensional standing gravity waves and their linear stabilities. We have obtained the result that the maximum wave steepness is 0.61. The instability with maximum growth rate is three-dimensional for the wave steepness 0.1. Instabilities due to the four-wave resonance occur but those due to the five-wave resonance are not found for wave steepness smaller than 0.15.

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ER -

Maximum wave steepness and instabilities of finite-amplitude standing gravity waves

Abstract

All Science Journal Classification (ASJC) codes

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